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Finding the Fourth Proportional to 5,129.06, 7,693.60 and 3,960.78

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Solution

The fourth proportional to 5,129.06, 7,693.60 and 3,960.78 is: 5,941.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,129.06 : 7,693.60 = 3,960.78 : x
  2. Step 2: Convert to fraction form
    5,129.06/7,693.60 = 3,960.78/x
  3. Step 3: Cross multiply
    5,129.06x = 7,693.60 × 3,960.78
  4. Step 4: Simplify right side
    5,129.06x = 30,472,657.01
  5. Step 5: Solve for x
    x = 30,472,657.01/5,129.06
  6. Step 6: Final answer
    x = 5,941.18

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.